Megaritis, A.C.(Universitat Politècnica de València, 2012-04-01)
[EN] In a relative covering dimension is defined and studied which is denoted by r-dim. In this paper we give an algorithm of polynomial order for computing the dimension r-dim of a pair (Q,X), where Q is a subset of a ...
Georgiou, D.N.; Iliadis, S.D.; Megaritis, A.C.(Universitat Politècnica de València, 2011-10-01)
[EN] In the paper two dimensions, denoted by dm and Dm, are defined in the class of all Hausdorff spaces. The dimension Dm does not have the universality property in the class of separable metrizable spaces because the ...
Megaritis, A.C.(Universitat Politècnica de València, 2018-10-04)
[EN] In [1], A. A. Borubaev introduced the concept of τ-metric space, where τ is an arbitrary cardinal number. The class of τ-metric spaces as τ runs through the cardinal numbers contains all ordinary metric spaces (for τ ...